To what distances do we know the confining potential?

Details To what distances do we know the confining potential? To what distances do we know the confining potential?

1998-10-17

arxiv.org/abs/hep-lat/9810037v3

Phys.Scripta 61 (2000) 536-543

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, 5 figures. Additional arguments presented, a new figure and references added

Scientific paper

10.1238/Physica.Regular.061a0053

We argue that asymptotically linear static potential is built in into the common procedure of extracting it from lattice Wilson loop measurements. To illustrate the point, we extract the potential by the standard lattice method in a model vacuum made of instantons. A beautiful infinitely rising linear potential is obtained in the case where the true potential is actually flattening. We argue that the flux tube formation might be also an artifact of the lattice procedure and not necessarily a measured physical effect. We conclude that at present the rising potential is known for sure up to no more than about 0.7 fm. It may explain why no screening has been clearly observed so far for adjoint sources and for fundamental sources but with dynamical fermions. Finally, we speculate on how confinement could be achieved even if the static potential in the pure glue theory is not infinitely rising.

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